Grothendieck groups and tilting objects

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dc.creatorReiten, I.
dc.creatorBergh, M. Van den
dc.date2000-05-10
dc.date.accessioned2026-07-07T04:35:10Z
dc.date.available2026-07-07T04:35:10Z
dc.descriptionLet C be a connected noetherian hereditary abelian Ext-finite category with Serre functor over an algebraically closed field k, with finite dimensional homomorphism and extension spaces. Using the classification of such categories from math.RT/9911242, we prove that if C has some object of infinite length, then the Grothendieck group of C is finitely generated if and only if C has a tilting object.
dc.identifierhttps://arxiv.org/abs/math/0005100
dc.identifierhttp://arxiv.org/abs/math/0005100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59166
dc.subjectRepresentation Theory
dc.subject16G30
dc.titleGrothendieck groups and tilting objects
dc.typetext

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